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Finding the Fourth Proportional to 13,022.86, 19,532.16 and 3,663.52

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Solution

The fourth proportional to 13,022.86, 19,532.16 and 3,663.52 is: 5,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.86 : 19,532.16 = 3,663.52 : x
  2. Step 2: Convert to fraction form
    13,022.86/19,532.16 = 3,663.52/x
  3. Step 3: Cross multiply
    13,022.86x = 19,532.16 × 3,663.52
  4. Step 4: Simplify right side
    13,022.86x = 71,556,458.80
  5. Step 5: Solve for x
    x = 71,556,458.80/13,022.86
  6. Step 6: Final answer
    x = 5,494.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.